On the Logarithm of the Riemann Zeta-function Near the Nontrivial Zeros

Fatma Cicek

Assuming the Riemann hypothesis and Montgomery's Pair Correlation Conjecture, we investigate the distribution of the sequences $(\log |\zeta (\rho +z)|)$ and $(\arg \zeta (\rho +z)).$ Here $ρ=\frac12+…